1 citations · 1 across the 5 of their papers we have counts for
7 papers · 1 filter
Impartial games on two finite Groups
Ratan Lal, Muskan, Vipul Kakkar
In this paper, we study impartial achievement games and impartial avoidance games introduced by Anderson and Harary. Using the criteria of maximal subgroups, we study the game for…
Determinant for automorphisms of semidirect product of groups
Ratan Lal, Alka Choudhary, Vipul Kakkar
A description of the endomorphisms of semidirect products of two groups as a group of matrices of maps is already known. Using this description, we have studied the con…
Semidirect Product of Loops with Groups
Ratan Lal, Ramjash Gurjar, Vipul Kakkar
In this paper, we have studied the loops which are the semidirect products of a loop and a group. Also, the cummutant, nuclei and the center of such loops are studied.
Automorphism groups of groups of order
Ratan Lal, Vipul Kakkar
In this paper, we have computed the automorphism groups of all groups of order , where and are distinct primes.
Automorphisms of Zappa-Szép Product
Ratan Lal, Vipul Kakkar
In this paper, we have found the automorphism group of the Zappa-Szép product of two groups. Also, we have computed the automorphism group of the Zappa-Szép product of a cyclic gro…
Automorphisms of semidirect products fixing the non-normal subgroup
Ratan Lal, Vipul Kakkar
In this paper, we describe the automorphism group of semidirect product of two groups that fixes the non-normal subgroup of it. We have computed these automorphisms for the non-abe…